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Tom [10]
2 years ago
15

Tony is building a new silo to store corn as animal feed. It will be a cylinder topped with a half-sphere, and must store 21 000

t of corn. The entire silo can be filled with corn. Tony wants to minimize the surface area of the silo to reduce materials and paint costs. He has the following information:
• 1 cubic m of corn has a mass of 700 kg.
• Building costs are $8/m2, taxes included.
• Paint comes in 3.8 L cans.
Each can covers 40 sq m and costs $35,
taxes included.
• Corn costs $140 per tonne ($140/t), taxes
included.
What is the total cost to build, paint, and fill a silo with the least surface area?
Mathematics
1 answer:
ehidna [41]2 years ago
8 0

Answer:

The total bill is $6900 because 69 is a man which hair is multi colour

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Please explain (will also give brainliest if you put all the steps)
MrMuchimi

Answer:

A = 139.5 cm^2

Step-by-step explanation:

Ok, let's break it down into pieces. First let's find the area of the main rectangle. We know that the area of a rectangle is as follows:

A = L x W

A = 9 x 12

A = 108 cm^2

Now we need to find the area of the two triangles. There are two ways to approach this. If you can visualize that you can flip the first triangle and slide it against the second, it becomes a rectangle. Then you can simply use the same formula as before with modified numbers.

L = 7 (height of the triangle

W = 4.5 (base of the triangle (half of 9))

A (both triangles) = 7 x 4.5

A (both triangles) = 31.5 cm^2

If you can't quite figure out how to visualize that, you can simply treat them as two independent right triangles. The formula for the area of a right triangle is as follows:

A = (1/2)b x h

b = 4.5

h = 7

A (first triangle) = (1/2)4.5 x 7

A (first triangle) = 15.75 cm^2

The area of the second triangle is identical

A (second triangle) = 15.75 cm^2

The area of the two triangles added together is

A (both triangles) = A (first triangle) + A (second triangle)

A (both triangles) = 31.5 cm^2

As you can see we got the same answer both ways. Now we just have to add the area of the two triangles to the area of the rectangle

A = 108 + 31.5

A = 139.5 cm^2

3 0
3 years ago
Read 2 more answers
If you can’t see the answer choices , they are <br> A. 9<br> B. 8 <br> C. 10 <br> D. 12
ANTONII [103]

Answer:a)9

I think

Step-by-step explanation:

6 0
2 years ago
2.) 4x + 8.2 ≤ 32.2 *<br><br> A. x ≤ 60<br> B. x ≥ 6<br> C. x ≥ 60<br> D. x ≤ 6
Inga [223]

Answer:

D

Step-by-step explanation:

Given

4x + 8.2 ≤ 32.2 ( subtract 8.2 from both sides )

4x ≤ 24 ( divide both sides by 4 )

x ≤ 6 → D

6 0
3 years ago
Read 2 more answers
16 more than s is at most −80.
polet [3.4K]

Answer:

s + 16 ≤ −80

Step-by-step explanation:

Analyze each part in the word equation:

"16 more than s"     s increased by 16; s + 16

"is at most"           is equal to or less than; ≤

"−80"               -80

Put the equation back together:

s + 16 ≤ −80

4 0
3 years ago
Factor completely: 2x4 − 32.
vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is  2(x-2)(x+2)(x^2+4)

Step-by-step explanation:

Given expression is 2x^4-32

To find the completed factor for the given expression:

2x^4-32:

Taking the common number "2" outside  to the above expression we get

2x^4-32=2(x^4-16)

Now rewritting the above  expression as below

=2(x^4-2^4)  (since 16 can be written as the number 2 to the power of 4)

=2((x^2)^2-(2^2)^2)

The above expression is of the form a^2-b^2=(a+b)(a-b)

Here a=x^2 and  b=2^2

Therefore it becomes

=2(x^2+2^2)(x^2-2^2)

=2(x^2+4)(x^2-2^2)  

The above expression is of the form a^2-b^2=(a+b)(a-b)

Here a=x and  b=2

Therefore it becomes

=2(x^2+4)(x+2)(x-2)  

=2(x+2)(x-2)(x^2+4)  

Therefore =2(x+2)(x-2)(x^2+4)  

2x^4-32=2(x-2)(x+2)(x^2+4)  

Option b) is correct.

The completed factor of given expression is  2(x-2)(x+2)(x^2+4)

3 0
3 years ago
Read 2 more answers
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